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Drawing a xmas tree.

Uses following modules:

• turtle for deawing
• kandinsky for background color
• random for colors of stars and position of background stars
• math to calculate the spirals using cos() and sin()

# XMAS tree using turtle
from turtle import *
from math import * 
from random import *
import kandinsky

# draws 1 star at x,y with given size
def star(x,y,size):
  penup()
  goto(x,y)
  pendown()
  for _ in range(5):
    forward(size)
    right(144)

# parameters
N=250
Nstar=20
cycles=13
col=("blue","red","yellow","pink","orange","purple")
col_bg=(20,20,100)
col_bg_star=(30,30,150)
# turtle settings
speed(0)
hideturtle()
colormode(255)
# background
kandinsky.fill_rect(0,0,320,240,kandinsky.color(col_bg))
# background stars
colormode(255)
pensize(2)
color(col_bg_star)
for _ in range(25):
  star(randint(-150,150),randint(-50,100),18)
# draw trunk
color("brown")
pensize(10)
penup()
goto(0,-50)
pendown()
goto(0,-90)
# draw tree
color("green")
pensize(4)
for k in range(N):
  kn=k/(N-1)
  angle=kn*2*3.14*cycles
  x=int((90*kn+4)*cos(angle))
  y=int(100-150*kn+20*kn*sin(angle))
  if k==0:
    penup()
  elif k==1:
    pendown()
  goto(x,y)
# draw stars on tree
pensize(7)
for k in range(Nstar):
  kn=k/(Nstar)
  angle=kn*2*3.14*cycles
  x=int((100*kn+4)*cos(angle))
  y=int(100-150*kn+20*kn*sin(angle))
  color(choice(col))
  star(x,y,8)